WiiLover WiiLover

14-06-2017
Mathematics

contestada

What is the inverse of f(x)=x/(x-2)?

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konrad509 konrad509

14-06-2017

[tex] f(x)=\dfrac{x}{x-2}\\ y=\dfrac{x}{x-2}\\ y(x-2)=x\\ xy-2y=x\\ xy-x=2y\\ x(y-1)=2y\\ x=\dfrac{2y}{y-1}\\\ f^{-1}(x)=\dfrac{2x}{x-1}[/tex]

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aanon123789 aanon123789

07-04-2019

Answer:

Step-by-step explanation:

Its the answer with -6 at the end. (D) for me.

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